Question

Please help with this question. I would appreciate it!

Answer 1

The mass of A is 4000g.

Explanation:

First, divide 28 by 40. Then square root this to get the scale factor between them. (5 over 6). Mass is like volume in this case, so we need to cube 5/6 and then multiply that by 6912 to get the mass of A.

28÷40.32= 25/36

√25/36 =5/6

5/6³ x 6912= 4000g

Answer 2

Mass of A = 5760 grams

Explanation:

Surface area is given, so we can set-up a similarity equation to solve for k, proportionality constant. Here, we will relate both of them through k^2, because they are 2 dimensional (area). Thus

Surface Area of A = k^2 * Surface Area of B

28 = k^2 * 40.32

k^2 = 28/40.32

k^2 = 25/36

k = Sqrt (25/36)

k = 5/6

Now, we want to find mass (1 dimensional quantity), thus we can say:

Mass of A = k * Mass of B

Mass of A = (5/6) * (6912)

Mass of A = 5760 grams